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132140448 = 25321153787
BaseRepresentation
bin1111110000001…
…00110110100000
3100012122102121200
413320010312200
5232311443243
621040121200
73163114056
oct770046640
9305572550
10132140448
1168654090
1238306200
13214b7b1b
141379a1d6
15b902ad3
hex7e04da0

132140448 has 144 divisors (see below), whose sum is σ = 418201056. Its totient is φ = 39237120.

The previous prime is 132140441. The next prime is 132140461. The reversal of 132140448 is 844041231.

132140448 is a `hidden beast` number, since 1 + 3 + 214 + 0 + 448 = 666.

132140448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1321404482 = 34922195995281408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132140441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167511 + ... + 168297.

It is an arithmetic number, because the mean of its divisors is an integer number (2904174).

Almost surely, 2132140448 is an apocalyptic number.

132140448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209100528).

132140448 is an abundant number, since it is smaller than the sum of its proper divisors (286060608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132140448 is a wasteful number, since it uses less digits than its factorization.

132140448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132140448 is about 11495.2358827473. The cubic root of 132140448 is about 509.3448565750.

Adding to 132140448 its reverse (844041231), we get a palindrome (976181679).

The spelling of 132140448 in words is "one hundred thirty-two million, one hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 787 792 848 954 1056 1166 1272 1574 1584 1696 1749 1908 2332 2361 2544 3148 3168 3498 3816 4664 4722 5088 5247 6296 6996 7083 7632 8657 9328 9444 10494 12592 13992 14166 15264 17314 18656 18888 20988 25184 25971 27984 28332 34628 37776 41711 41976 51942 55968 56664 69256 75552 77913 83422 83952 103884 113328 125133 138512 155826 166844 167904 207768 226656 250266 277024 311652 333688 375399 415536 458821 500532 623304 667376 750798 831072 917642 1001064 1246608 1334752 1376463 1501596 1835284 2002128 2493216 2752926 3003192 3670568 4004256 4129389 5505852 6006384 7341136 8258778 11011704 12012768 14682272 16517556 22023408 33035112 44046816 66070224 132140448